Results 21 to 30 of about 468 (73)

Coordinate shadows of semi-definite and Euclidean distance matrices [PDF]

open access: yes, 2015
We consider the projected semi-definite and Euclidean distance cones onto a subset of the matrix entries. These two sets are precisely the input data defining feasible semi-definite and Euclidean distance completion problems.
Drusvyatskiy, D.   +2 more
core   +3 more sources

Optimization of Lagrange problem with higher-order differential inclusion and special boundary-value conditions

open access: yesDemonstratio Mathematica
This article concerns about optimality conditions for boundary-value problems related to differential inclusions (DFIs) of higher orders. We intend to attain optimality conditions when a general Lagrange functional takes place in the cost function ...
Yıldırım Uğur   +2 more
doaj   +1 more source

On the Necessity of the Sufficient Conditions in Cone-Constrained Vector Optimization [PDF]

open access: yes, 2014
The object of investigation in this paper are vector nonlinear programming problems with cone constraints. We introduce the notion of a Fritz John pseudoinvex cone-constrained vector problem.
Ivanov, Vsevolod I.
core  

Fractional Calculus Approach for Variational Problems: Characterization of Sufficient Optimality Conditions and Duality

open access: yesPartial Differential Equations in Applied Mathematics
In this paper, we present a Wolfe-type dual model containing the Caputo-Fabrizio fractional derivative, weak and strong duality results, number of Kuhn-Tucker type sufficient optimality conditions and duality results for variational problems (VPs) with ...
Ved Prakash Dubey   +3 more
doaj   +1 more source

The Computational Complexity of Duality

open access: yes, 2016
We show that for any given norm ball or proper cone, weak membership in its dual ball or dual cone is polynomial-time reducible to weak membership in the given ball or cone.
Friedland, Shmuel, Lim, Lek-Heng
core   +1 more source

Gronwall-type integral inequalities with impulses on time scales

open access: yesAdvances in Difference Equations, 2011
In this article, some Gronwall-type integral inequalities with impulses on time scales are investigated. Our results extend some known dynamic inequalities on time scales, unify and extend some continuous inequalities and their corresponding discrete ...
Kang Ying   +4 more
doaj  

ON NECESSARY CONDITIONS FOR EFFICIENCY IN DIRECTIONALLY DIFFERENTIABLE OPTIMIZATION PROBLEMS [PDF]

open access: yes
This paper deals with multiobjective programming problems with in- equality, equality and set constraints involving Dini or Hadamard differentiable func- tions.
Do Van Luu, Manh-Hung Nguyen
core   +3 more sources

Non-differentiable multiobjective mixed symmetric duality under generalized convexity

open access: yesJournal of Inequalities and Applications, 2011
The objective of this paper is to obtain a mixed symmetric dual model for a class of non-differentiable multiobjective nonlinear programming problems where each of the objective functions contains a pair of support functions.
Li Jueyou, Gao Ying
doaj  

On constrained set-valued optimization [PDF]

open access: yes
The set-valued optimization problem minC F(x), G(x)\(-K) 6= ; is considered, where F : Rn Rm and G : Rn Rp are set-valued functions, and C Rm and K Rp are closed convex cones.
Ginchev Ivan, Rocca Matteo
core  

Duality in nondifferentiable minimax fractional programming with B-(p, r)-invexity

open access: yesJournal of Inequalities and Applications, 2011
In this article, we are concerned with a nondifferentiable minimax fractional programming problem. We derive the sufficient condition for an optimal solution to the problem and then establish weak, strong, and strict converse duality theorems for the ...
Kailey N   +3 more
doaj  

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